About: Billiard ball in the space with a time machine

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study a system of an elastic ball moving in the nonrelativistic spacetime with a nontrivial causal structure produced by a wormhole-based time machine. For such a system, it is possible to formulate a simple model of the so-called %22grandfather paradox%22: for certain %22paradoxical%22 initial conditions, the standard straight trajectory of the ball would self-collide inconsistently. We analyze globally consistent solutions of local equations of motion; namely, we find all trajectories with one self-collision. It is demonstrated that all standard initial conditions have a consistent evolution, including those paradoxical ones, for which the inconsistent collision-free trajectory is superseded by a special consistent self-colliding trajectory. Moreover, it is shown that for a wide class of initial conditions, more than one globally consistent evolution exist. The nontrivial causal structure thus breaks the uniqueness of the classical theory even for locally deterministic physical laws. We study a system of an elastic ball moving in the nonrelativistic spacetime with a nontrivial causal structure produced by a wormhole-based time machine. For such a system, it is possible to formulate a simple model of the so-called %22grandfather paradox%22: for certain %22paradoxical%22 initial conditions, the standard straight trajectory of the ball would self-collide inconsistently. We analyze globally consistent solutions of local equations of motion; namely, we find all trajectories with one self-collision. It is demonstrated that all standard initial conditions have a consistent evolution, including those paradoxical ones, for which the inconsistent collision-free trajectory is superseded by a special consistent self-colliding trajectory. Moreover, it is shown that for a wide class of initial conditions, more than one globally consistent evolution exist. The nontrivial causal structure thus breaks the uniqueness of the classical theory even for locally deterministic physical laws. (en)
Title	Billiard ball in the space with a time machine Billiard ball in the space with a time machine (en)
skos:prefLabel	Billiard ball in the space with a time machine Billiard ball in the space with a time machine (en)
skos:notation	RIV/00216208:11320/10:10080394!RIV11-GA0-11320___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA202/09/0772), Z(MSM0021620860)
http://linked.open...iv/cisloPeriodika	12
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Krtouš, Pavel Dolanský, Jindřich
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Karlova v Praze / Matematicko-fyzikální fakulta
http://linked.open...dnocenehoVysledku	248796
http://linked.open...ai/riv/idVysledku	RIV/00216208:11320/10:10080394
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	time machines; general relativity (en)
http://linked.open.../riv/klicoveSlovo	general relativity time machines
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[695A7050551B]
http://linked.open...i/riv/nazevZdroje	Physical Review D - Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Current problems of gravitation, general relativity and relativistic astrophysics
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	82
http://linked.open...iv/tvurceVysledku	Krtouš, Pavel Dolanský, Jindřich
http://linked.open...n/vavai/riv/zamer	Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech
issn	1550-7998
number of pages	13 (xsd:int)
http://localhost/t...ganizacniJednotka	11320

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